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consider counter machines, which are nondeterministic one-way finite automata augmented with one counter, where at each step the counter can be incremented by 1, decremented by 1, or left unchanged, and can be tested for zero. Acceptance is by accepting state. We show that there is a fixed nondeterministic real-time (i.e., no ϵ-move) 1-reversal counter machine A (once the counter decrements it can...
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